3 years ago

Find the value of x.

Mathematics

1 answer:

OleMash [197]3 years ago

3 0

Answer:

Step-by-step explanation:

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Find the value of x and y that satisfy both the equalities x/y=2/3 and y/24=3/4<br> .

egoroff_w [7]

x=12 and y=18 satisfies both the equalities.

Step-by-step explanation:

Given equations are;

x/y = 2/3 Eqn 1

y/24 = 3/4 Eqn 2

Multplying by 24 on both sides of Eqn 2

$24*\frac{y}{24}=\frac{3}{4}*24\\\frac{24y}{24}=\frac{72}{4}\\y=18$

Putting y=18 in Eqn 1;

$\frac{x}{18}=\frac{2}{3}$

Multiplying both sides by 18

$18*\frac{x}{18}=\frac{2}{3}*18\\\frac{18x}{18}=\frac{36}{3}\\x=12$

Putting both values in Eqn 1

$\frac{12}{18}=\frac{2}{3}\\$

As 12 and 18 are multiples of 6;

$\frac{2}{3}=\frac{2}{3}$

x=12 and y=18 satisfies both the equalities.

Keywords: fraction, division

Learn more about fractions at:

#LearnwithBrainly

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4 years ago

el Mosaico Coffee & Garden gives a $10 gift card to spend if customers can guess the sequence of the day. Janeth arrives on

azamat

Answer: Drop down 1: 13

Drop down 2: a_n-1_-9

Step-by-step explanation:

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3 years ago

Use benchmarks to estimate the difference of<br> 9/11-2/14

soldier1979 [14.2K]

$\frac{9}{11} - \frac{2}{14} = \frac{9}{11} - \frac{1}{7} = \frac{63 - 11}{77} = \\ = \frac{52}{77}$

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3 years ago

Given f(x)=17-x2, what is the average rate of change in f(x) over the interval [1, 5]?

Paha777 [63]

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

here [ a, b ] = [ 1, 5 ]

f(b) = f(5) = 17 - 5² = - 8

f(a) = f(1) = 17 - 1² = 16

average rate of change = $\frac{-8-16}{5-1}$ = $\frac{-24}{4}$ = - 6

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3 years ago

Find the gradient of this line. Use gradient = rise/run

Marysya12 [62]

Step-by-step explanation:

the gradient of the line = 2 units/ 3 units = 2/3

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3 years ago